Abstract
An approach based on the perturbation theory combined with the method of a self-consistent field was used to investigate the dimensional dependence of the specific free surface energy (surface tension) of small drops in a simple fluid. The surface tension decreases with decreasing drop size. The approach proposed also allows one to find the radial density distribution in a small object.
Similar content being viewed by others
References
A. I. Rusanov, Phase Equilibria and Surface Phenomena [in Russian], Khimia, Leningrad (1967).
A. I. Rusanov, Zh. Obsch. Khim., 72, 532–549 (2002).
V. M. Samsonov, Zh. Fiz. Khim., 76, 2063–2067 (2002).
V. M. Samsonov, Izv. RAN, Ser. Fiz., 69, 1036–1038 (2005). Grants o. 04-03-32214, 05-03-32198, 52-850, UR 05.01.390.
V. M. Samsonov, A. N. Bazulev, and N. Yu. Sdobnyakov, Centr. Eur. J. Phys., 1, 474–484 (2003).
V. M. Samsonov, N. Yu. Sdobnyakov, and A. N. Bazulev, Colloids and Surfaces A: Physicochem. Eng. Aspects, 239, 113–117 (2004).
A. N. Bazulev, V. M. Samsonov, N. Yu. Sdobnyakov, Zh. Fiz. Khim., 76, 2073–2077 (2002).
L. M. Scherbakov, Studies in Surface Forces [in Russian], Nauka, Moscow (1964).
C. A. Croxton, Introduction to Liquid State Physics, Wiley, London-New York (1975).
J. B. Gibbs, Works in Thermodynamics [Russian transl.], Gostekhizdat, Moscow-Leningrad (1950).
L. M. Scherbakov, V. M. Samsonov, Thermodynamics of Surface Phenomena [in Russian], Kalinin (1986).
V. M. Samsonov, N. Yu. Sdobnyakov, and A. N. Bazulev, Russ. J. Phys. Chem.,. 77, Suppl. 1, S158–S162 (2003).
M. N. Magomedov, Fiz. Tverd. Tela, 46, 924–937 (2004).
A. S. Davydov, Quantum Mechanics [in Russian], Nauka, Moscow (1973).
P.-G. De Gennes, The Physics of Liquid Crystals [Russian transl.], Mir, Moscow (1977).
J. S. Rowlinson and B. Widom, Molecular Theory of Capillarity, Clarendon, Oxford (1982).
I. Z. Fisher, Statistical Theory of Fluids [in Russian], Nauka, Moscow (1966).
V. G. Baidakov, Reviews on Thermal Properties of Substances [in Russian], Inst. of High Temperatures, Moscow, No. 69 (1988).
R. S. Tolman, J. Chem. Phys., 17, 333–340 (1949).
J. A. Wingrave, R. S. Schechter, and W. H. Wade, in: The Modern Theory of Capillarity [Russian transl., ed. by A. I. Rusanov and F. C. Goodrich], Khimia, Leningrad (1980), pp. 244–273.
Author information
Authors and Affiliations
Corresponding author
Additional information
__________
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 55–61, August, 2007.
Rights and permissions
About this article
Cite this article
Samsonov, V.M., Khashin, V.A. & Sdobnyakov, N.Y. Application of the method of a self-consistent field to the calculation of the local density and surface tension of small drops in a simple fluid. Russ Phys J 50, 803–811 (2007). https://doi.org/10.1007/s11182-007-0121-5
Received:
Issue Date:
DOI: https://doi.org/10.1007/s11182-007-0121-5